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Equivalence of the Melnikov function method and the average method
澳门新葡8455最新网站:2018年01月18日 10:04 点击数:

报告人:韩茂安

报告地点:澳门新葡8455最新网站403室

报告澳门新葡8455最新网站:2018年01月19日星期五10:20-11:00

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报告摘要:

There is a folklore about the equivalence between the Melnikov method and the averaging method for studying the number of limit cycles, which are bifurcated from the period annulus of planar analytic differential systems. But there is not a published proof. In this short paper, we prove that for any positive integer k, the kth Melnikov function and the kth averaging function, modulo both Melnikov and averaging functions of order less than k, produce the same number of limit cycles of planar analytic (or C^\infty) near-Hamiltonian systems.

主讲人概况:

韩茂安,上海师范大学数理新葡京最新官网教授、博士生导师。主要研究领域是微分方程与动力系统分支理论。

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